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Finding the Fourth Proportional to 501,000.72, 691,408.80 and 286,210.52

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Solution

The fourth proportional to 501,000.72, 691,408.80 and 286,210.52 is: 394,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,000.72 : 691,408.80 = 286,210.52 : x
  2. Step 2: Convert to fraction form
    501,000.72/691,408.80 = 286,210.52/x
  3. Step 3: Cross multiply
    501,000.72x = 691,408.80 × 286,210.52
  4. Step 4: Simplify right side
    501,000.72x = 197,888,472,180.58
  5. Step 5: Solve for x
    x = 197,888,472,180.58/501,000.72
  6. Step 6: Final answer
    x = 394,986.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.